Let $A$ be a Banach algebra and $X$ be a Banach $A$-bimodule. Then ${mathcal{S}}=A oplus X$, the $l^1$-direct sum of $A$ and $X$ becomes a module extension Banach algebra when equipped with the algebra product $(a,x).(a',x')=(aa',ax'+xa').$ In this paper, we investigate biflatness and biprojectivity for these Banach algebras. We also discuss on automatic continuity of derivations on ${mathcal{S}}=Aoplus A$.
Medghalchi, A., & Pourmahmood-Aghababa, H. (2011). On module extension Banach algebras. Bulletin of the Iranian Mathematical Society, 37(No. 4), 171-183.
MLA
A. Medghalchi; H. Pourmahmood-Aghababa. "On module extension Banach algebras". Bulletin of the Iranian Mathematical Society, 37, No. 4, 2011, 171-183.
HARVARD
Medghalchi, A., Pourmahmood-Aghababa, H. (2011). 'On module extension Banach algebras', Bulletin of the Iranian Mathematical Society, 37(No. 4), pp. 171-183.
VANCOUVER
Medghalchi, A., Pourmahmood-Aghababa, H. On module extension Banach algebras. Bulletin of the Iranian Mathematical Society, 2011; 37(No. 4): 171-183.
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